Local tomography for the limited-angle problem
type: Item
instance of: scholarly article
title: Local tomography for the limited-angle problem
zbMATH Open document ID: 0894.65065
published in: Journal of Mathematical Analysis and Applications
publication date: 1998-08-19T00:00:00Z
review text: The author investigates local tomography in the case of limited-angle data. The main theoretical tool is analysis of the singularities of pseudodifferential opertors (PDO) acting on piecewise smooth functions. Amplitudes of the PDO are allowed to be nonsmooth in the dual variable \(\xi\) across the boundary of a wedge. Results of numerical simulation of limited-angle local tomographs confirm basic theoretical conclusions.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A12
Mathematics Subject Classification ID: 92C55
zbMATH DE Number: 1117622
zbMATH Keywords: numerical examples
zbMATH Keywords: local tomography
zbMATH Keywords: limited-angle data
zbMATH Keywords: singularities of pseudodifferential opertors
author: A. Katsevich
reviewed by: R. S. Dahiya
MaRDI profile type: Publication
full work available at URL: jmaa.1997.5412
OpenAlex ID: W2019313246
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DOI: 10.1006/JMAA.1997.5412
description: scientific article; zbMATH DE number 1117622